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makegridpointc.html
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makegridpointc.html
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<h1 class="post-title-main">MakeGridPointC (Fortran)</h1>
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<p>Evaluate a complex function expressed in complex spherical harmonics at a single point.</p>
<h2 id="usage">Usage</h2>
<p><code class="highlighter-rouge">value</code> = MakeGridPointC (<code class="highlighter-rouge">cilm</code>, <code class="highlighter-rouge">lmax</code>, <code class="highlighter-rouge">lat</code>, <code class="highlighter-rouge">lon</code>, <code class="highlighter-rouge">norm</code>, <code class="highlighter-rouge">csphase</code>, <code class="highlighter-rouge">dealloc</code>)</p>
<h2 id="parameters">Parameters</h2>
<dl>
<dt><code class="highlighter-rouge">value</code> : output, complex(dp)</dt>
<dd>Value of the function at (<code class="highlighter-rouge">lat</code>, <code class="highlighter-rouge">lon</code>).</dd>
<dt><code class="highlighter-rouge">cilm</code> : input, complex(dp), dimension (2, <code class="highlighter-rouge">lmax</code>+1, <code class="highlighter-rouge">lmax</code>+1)</dt>
<dd>The complex spherical harmonic coefficients of the function. The coefficients <code class="highlighter-rouge">C1lm</code> and <code class="highlighter-rouge">C2lm</code> refer to the postive and negative angular orders, respectively, with <code class="highlighter-rouge">Clm=cilm(1,l+1,m+1)</code> and <code class="highlighter-rouge">Cl-m=cilm(2,l+1,m+1)</code>.</dd>
<dt><code class="highlighter-rouge">lmax</code> : input, integer</dt>
<dd>The maximum spherical harmonic degree used in evaluating the function.</dd>
<dt><code class="highlighter-rouge">lat</code> : input, real(dp)</dt>
<dd>The latitude of the point in DEGREES.</dd>
<dt><code class="highlighter-rouge">lon</code> : input, real(dp)</dt>
<dd>The longitude of the point in DEGREES.</dd>
<dt><code class="highlighter-rouge">norm</code> : input, optional, integer, default = 1</dt>
<dd>1 (default) = Geodesy 4-pi normalized harmonics; 2 = Schmidt semi-normalized harmonics; 3 = unnormalized harmonics; 4 = orthonormal harmonics.</dd>
<dt><code class="highlighter-rouge">csphase</code> : input, optional, integer, default = 1</dt>
<dd>1 (default) = do not apply the Condon-Shortley phase factor to the associated Legendre functions; -1 = append the Condon-Shortley phase factor of (-1)^m to the associated Legendre functions.</dd>
<dt><code class="highlighter-rouge">dealloc</code> : input, optional, integer, default = 0</dt>
<dd>0 (default) = Save variables used in the external Legendre function calls. (1) Deallocate this memory at the end of the funcion call.</dd>
</dl>
<h2 id="description">Description</h2>
<p><code class="highlighter-rouge">MakeGridPointC</code> will expand a complex function expressed in complex spherical harmonics at a single point. The input latitude and longitude are in degrees. The employed spherical harmonic normalization and Condon-Shortley phase convention can be set by the optional arguments <code class="highlighter-rouge">norm</code> and <code class="highlighter-rouge">csphase</code>; if not set, the default is to use geodesy 4-pi normalized harmonics that exclude the Condon-Shortley phase of (-1)^m.</p>
<h2 id="see-also">See also</h2>
<p><a href="makegridpoint.html">makegridpoint</a>, <a href="makegriddh.html">makegriddh</a>, <a href="makegriddhc.html">makegriddhc</a>, <a href="makegridglq.html">makegridglq</a>, <a href="makegridglqc.html">makegridglqc</a></p>
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